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Finding the Fourth Proportional to 377,570, 566,355 and 155,959.76

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Solution

The fourth proportional to 377,570, 566,355 and 155,959.76 is: 233,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,570 : 566,355 = 155,959.76 : x
  2. Step 2: Convert to fraction form
    377,570/566,355 = 155,959.76/x
  3. Step 3: Cross multiply
    377,570x = 566,355 × 155,959.76
  4. Step 4: Simplify right side
    377,570x = 88,328,589,874.80
  5. Step 5: Solve for x
    x = 88,328,589,874.80/377,570
  6. Step 6: Final answer
    x = 233,939.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.